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45170249124 = 2237112131033319
BaseRepresentation
bin101010000100010110…
…110100110110100100
311022120222210101221210
4222010112310312210
51220002040432444
632430111111420
73156234532260
oct520426646644
9138528711853
1045170249124
111817a478800
128907512570
13434b27c980
1422871090a0
15129586c7b9
hexa845b4da4

45170249124 has 288 divisors, whose sum is σ = 144012144640. Its totient is φ = 10721652480.

The previous prime is 45170249123. The next prime is 45170249183. The reversal of 45170249124 is 42194207154.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (45170249123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607937 + ... + 13611255.

Almost surely, 245170249124 is an apocalyptic number.

45170249124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45170249124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72006072320).

45170249124 is an abundant number, since it is smaller than the sum of its proper divisors (98841895516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45170249124 is a wasteful number, since it uses less digits than its factorization.

45170249124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 45170249124 in words is "forty-five billion, one hundred seventy million, two hundred forty-nine thousand, one hundred twenty-four".